Question: please write neatly and show work 8. (10 pts) Consider the differential equation x'y - 8xy' + 8y = 0 (a) Derive the characteristic equation

please write neatly and show work

8. (10 pts) Consider the differential equation x'y" - 8xy' + 8y = 0 (a) Derive the characteristic equation using the fact that we know the solution will be of the form y = x". (b) Find the homogeneous solution given r > 0

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